the sum of the ages of the father and his son is 45 years five fears ago the product of their ages was 4 times the father age at that time the father age at that time find their present ages
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Answer:
Let x years be the present age of the father, then the present age of the son will be (45−x) years.
Five years ago, the age of father was (x−5) years and that of son was (45−x−5)=(40−x) years.
As, five years ago, the product of ages was 124.
(x−5)(40−x)=124
⇒x
2
−45x+324=0
⇒(x−9)(x−36)=0
⇒x=9,x=36
When x=36, the age of father is 36 and the age of son is 9 years.
When x=36, the age of the father is 9 years and the age of the son is 36 years, which cannot be possible, so the present age of father is 36 years and that of the son is 9 years.
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Answer:
father age =36 years
son age = 9 years
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